Question

Question in the picture please help me.

Answer 1

Below

Explanation:

The perimeter of a rectangle is the sum of its 4 sides.

Let P be the perimeter

● P = x + (x+5) + x + (x+5)

● P = x+x+x+x+5+5

The perimeter is 50 units

● 50 = 4x +10

So this the equation that would model how to find x.

Let's solve it

● 4x + 10 = 50

Substract 10 from both sides

● 4x + 10 - 10 = 50-10

● 4x = 40

Divide both sides by 4

● 4x/4 = 40/4

● x = 10

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Let's find the length.

The length is x+5

Replace x by 10 to find the value of the length.

● 10 + 5 = 15

So the length is 15 units

Answer 2

1)
`50=2(x+5)+2(x)`

2)
`x=10`

3)
`15\text{ units}`

Explanation:

So we know that the perimeter of the rectangle is 50.

The formula for the perimeter of a rectangle is given by:

`P=2l+2w`

Where l is the length and w is the width.

The length is (x+5) and the width is (x).

Thus, substitute (x+5) for l and (x) for w. Also substitute 50 for P. Therefore:

`50=2(x+5)+2(x)`

And that's our equation.

To solve, first distribute:

`50=2x+10+2x`

Combine like terms:

`50=4x+10`

Subtract 10 from both sides:

`40=4x`

Divide everything by 4:

`x=10`

So, the value of x is 10.

The length is the longer side. Thus, it is (x+5).

We now know that x is 10, substitute:

`x+5\\=(10)+5\\=15`

So, the length is 15 units.